SOLVING BY COMPLETING THE SQUARE AND THE QUADRATIC FORMULA WORKSHEET

(1)  Solve the following quadratic equations by completing the square method

(i) 9x2 - 12x + 4 = 0       Solution

(ii)  (5x + 7)/(x - 1)  =  3x + 2       Solution

(2)  Solve the following quadratic equations by formula method

(i) 2x2 - 5x + 2 = 0       Solution

(ii) 2f2 - 6f + 32 = 0       Solution

(iii) 3y2 - 20y - 23 = 0       Solution

(iv) 36y2 - 12ay + (a2 - b2) = 0       Solution

(3)  A ball rolls down a slope and travels a distance d = t2 - 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet.       Solution

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